Show that the linearization of f(x) = (1+x) at x = 0 is L(x) = 1 + kx.
If f is differentiable x = a at then the approximating function L(x) = f(a) + f'(a)(x-a) is the linearization of f at a. Determine f(0).
f(0)= (Simplify your answer.)
Determine f'(x).
A. f'(x)=(1+x)k-1
B. f'(x) = k(1+x)k-1
C. f'(x)=(1+x)k
D. f'(x)=k(1+x)k
